In this course we will master the details of differential calculus, and pursue some advanced topics and applications. We will also develop technical writing skills that allow clear communication of sophisticated ideas, and learn about some technological tools such as Mathematica useful to mathematical and scientific projects.
We will cover limits, continuity, derivatives, modelling, and applications.
The course syllabus is available here.
- Precalculus review
- Section 1: Limits
- Section 2: More on Limits
- Section 3: Limit Laws
- Section 4: Continuity
- Section 5: Derivatives
- Section 6: Computing Derivatives
- Section 7: Implicit Derivatives
- Section 8: Inverses and Exponentials
- Section 9: Maxima and Minima
- Homework 1, Updated Sept 2 due Wednesday September 6
- Homework 2, due Wednesday September 13
- Homework 3, due Wednesday September 20
- Practice 3.5, do not turn in
- Homework 4, due Wednesday October 4
- Homework 5, due Friday October 13
- Homework 6, due Wednesday October 18
- Practice 6.5, do not turn in
- Homework 7, due Wednesday November 1
- Homework 8, due Wednesday November 8
- Derivatives Practice Worksheet
- Practice 8.5, do not turn in
- Homework 9, due Monday November 20
- Homework 10, due Wednesday November 29
- Final practice homework
You can download Mathematica by following this link. You will be asked to create an account. After you have created an account and logged in, return to that link to download Mathematica for your computer.
- Mathematica Tipsheet
- Plot Piecewise file
- Lab 1
- Lab 2
- Lab 3
- Lab 4
- Lab 5
- Lab 6
- Lab 7
- Lab 8
- Lab 9
- Lab 10
- Lab 11
Your worst midterm will only count for half the weight that the other two do.
I will post information on the final exam here when the registrar publishes it.
The textbook for this course is Single Variable Essential Calculus Early Transcendentals, Second Edition, by James Stewart. The ISBN is 1-1331-1278-1.
Be warned that there are several custom versions of this textbook floating around, and they do not contain the same problems. In particular, in past years some students have purchased the international version which (1) is much cheaper and (2) doesn’t contain the same homework problems as the assigned text. This is terrible and I apologize but I can’t do much other than warn you.
There are electronic versions of the textbook available from the publisher for rent or purchase.